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3 years ago

Which statement is not a step used when constructing an inscribed equilateral triangle?

Mathematics

1 answer:

FromTheMoon [43]3 years ago

8 0

Answer:

The correct option is;

Connect the two circles together using the compass.

Step-by-step explanation:

To draw an inscribed equilateral triangle;

1) Construct the circle

2) The radius of the circle can be drawn from the center of the circle intersecting the circumference

3) With the compass adjusted to the length of the radius, place the compass at the point of intersection of the radius and the circumference and draw arcs around the circumference of the circle

4) Connect every other point where the arc crosses the circumference

5) The figure constructed is n equilateral triangle

Therefore, the correct option is Connect the two circles together using the compass.

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A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of

lianna [129]

In your question that ask to calculate the area of one of the tiles if a semicircular archway in the front of the garden is using 8 congruent granite tiles and the area of one of the tiles is 2.9ft ^2. I hope you are satisfied with my answer and feel free to ask for more.

5 0

3 years ago

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable

MakcuM [25]

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0

3 years ago

Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.

zlopas [31]

Answer:

x = 1

Explanation:

$\sf \rightarrow log(3x) + log(x + 4) = log(15)$

Rule: log(a) + log(b) = log(ab)

$\sf \rightarrow log(3x(x + 4)) = log(15)$

cancel out log on both sides

$\sf \rightarrow 3x(x + 4) = 15$

relocate constant variable

$\sf \rightarrow 3x^2 + 12x -15 = 0$

take 3 as a common factor

$\sf \rightarrow 3(x^2 + 4x -5) = 0$

divide both sides by 3

$\sf \rightarrow x^2 + 4x -5 = 0$

middle term split

$\sf \rightarrow x^2 + 5x -x-5 = 0$

factor common terms

$\sf \rightarrow x(x + 5) -1(x+5)= 0$

collect into groups

$\sf \rightarrow (x-1)(x+5)= 0$

set to zero

$\sf \rightarrow x-1 = 0 , \ x+5= 0$

relocate variables

$\sf \rightarrow x = 1, \ x = -5$

There must be a positive solution for log, so the solution is only x = 1

3 0

2 years ago

Read 2 more answers

A rectangle field is 350 meters long and 300 meters wide. What is the area of the field in square kilometers

balu736 [363]

Okay, so a kilometer=1000 meters, knowing that we can multiply 350*300 for the area, which would give us 105000 meters squared, then we divide 105000 by 1000, giving us 105 square kilometers.

4 0

3 years ago

Y=2x+9 y=4x-9 Solve the system of equations.

Deffense [45]

Answer:

Your solution is (9, 27) or x = 9, y = 27

Step-by-step explanation:

y = 2x + 9

y = 4x - 9

We can see that both of these equations equal y, so we can set them equal to each other.

2x + 9 = 4x - 9

Add 9 to both sides.

2x + 18 = 4x

Subtract 2x from both sides.

18 = 2x

Divide both sides by 2.

9 = x

Now we want to find y. To do this, plug x = 9 back into one of the original equations.

y = 2(9) + 9

Multiply.

y = 18 + 9

Add.

y = 27

Your solution is (9, 27)

Check your answer by plugging x = 9 and y = 27 back into the original equations.

y = 2x + 9

27 = 2(9) + 9

27 = 18 + 9

27 = 27

y = 4x - 9

27 = 4(9) - 9

27 = 36 - 9

27 = 27

Your answer is correct.

Hope this helps!

3 0

3 years ago

Read 2 more answers